Question

Evaluate the expression for u = –12, v = 10, and w = –11. Simplify your answer.

v2 + u + w
w
=

Answer 1

We want to evaluate the expression \(\frac{v^2 + u + w}{w}\) for \(u = -12\), \(v = 10\), and \(w = -11\).

First, calculate \(v^2\):
\[
v^2 = 10^2 = 100
\]

Next, substitute \(u\) and \(w\) into the expression \(v^2 + u + w\):
\[
v^2 + u + w = 100 + (-12) + (-11)
\]
\[
= 100 - 12 - 11
\]
\[
= 100 - 12 = 88
\]
\[
88 - 11 = 77
\]

Now, we can substitute this result into the entire expression:
\[
\frac{v^2 + u + w}{w} = \frac{77}{-11}
\]
\[
= -7
\]

Thus, the simplified answer is:
\[
\boxed{-7}
\]